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Finding the Fourth Proportional to 4,234.60, 6,352.10 and 1,314.95

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Solution

The fourth proportional to 4,234.60, 6,352.10 and 1,314.95 is: 1,972.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.60 : 6,352.10 = 1,314.95 : x
  2. Step 2: Convert to fraction form
    4,234.60/6,352.10 = 1,314.95/x
  3. Step 3: Cross multiply
    4,234.60x = 6,352.10 × 1,314.95
  4. Step 4: Simplify right side
    4,234.60x = 8,352,693.90
  5. Step 5: Solve for x
    x = 8,352,693.90/4,234.60
  6. Step 6: Final answer
    x = 1,972.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.